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CDoubleSegDetailed.fa1e245fc7beb56c572b74aa2efcdb34.png

Instruction: Construct a point C on the line AB such that |AC|=2|AB| using only a compass.

Goal: 3L 3E

Available tools:

  • Move
  • Point
  • Circle
  • Intersect

Pack: Delta

Previous level: 3.9

Next level: 4.2

3L 3E solution[]

  1. Construct the circle with center A and radius AB
  2. Construct the circle with center B and radius AB, intersecting circle A at D and E
  3. Construct the circle with center D and radius DE, intersecting circle B at C
  4. Point at C

2V solution[]

  1. Construct the circle with center A and radius AC, intersecting circle D at F
  2. Construct the circle with center F and radius AF, intersecting the previous circle at C', the diametrical opposite of C on this circle
  3. Point at C'

Explanation[]

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